44113111131144 has 512 divisors, whose sum is σ = 129550134067200. Its totient is φ = 12382875648000.

The previous prime is 44113111131137. The next prime is 44113111131157.

44113111131144 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21116854452 + ... + 21116856540.

It is an arithmetic number, because the mean of its divisors is an integer number (253027605600).

Almost surely, 2^{44113111131144} is an apocalyptic number.

44113111131144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44113111131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64775067033600).

44113111131144 is an abundant number, since it is smaller than the sum of its proper divisors (85437022936056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44113111131144 is a wasteful number, since it uses less digits than its factorization.

44113111131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2753 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

It can be divided in two parts, 4411311 and 1131144, that added together give a palindrome (5542455).

The spelling of 44113111131144 in words is "forty-four trillion, one hundred thirteen billion, one hundred eleven million, one hundred thirty-one thousand, one hundred forty-four".